Demodulation of a single complex fringe interferogram with a path-independent regularized phase-tracking technique

Applied Optics

Volumn 49, Issue 2, 2010, Pages 170-179

  Tian, Chao ^a   Yang, Yongying ^a   Liu, Dong ^a   Luo, Yongjie ^a   Zhuo, Yongmo ^a  

^a ZHEJIANG UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

DEMODULATION;

COST FUNCTIONALS; FUNCTION SPACES; INTERFEROGRAMS; PHASE MODEL; PHASE SOLUTIONS; REGULARIZED PHASE TRACKING; SCANNING STRATEGIES; STATIONARY POINTS;

INTERFEROMETRY;

EID: 75449104626     PISSN: 1559128X     EISSN: 15394522     Source Type: Journal    
DOI: 10.1364/AO.49.000170     Document Type: Article

References (21)

1. D. Malacara, Optical Shop Testing, 2nd ed. (Wiley, 1992).
2. J. H. Bruning, D. R. Herriott, J. E. Gallagher, D. P. Rosenfeld, A. D. White, and D. J. Brangaccio, "Digital wavefront measuring interferometer for testing optical surfaces and lenses," Appl. Opt. 13, 2693-2703 (1974).
3. M. Takeda, H. Ina, and S. Kobayashi, "Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry," J. Opt. Soc. Am. 72, 156-160 (1982).
4. L. Mertz, "Real-time fringe-pattern analysis," Appl. Opt. 22, 1535-1539 (1983).
5. J. L. Marroquin, M. Servin, and R. Rodriguez-Vera, "Adaptive quadrature filters and the recovery of phase from fringe pattern images," J. Opt. Soc. Am. A 14, 1742-1753 (1997).
6. M. Servin, J. L. Marroquin, and F. J. Cuevas, "Demodulation of a single interferogram by use of a two-dimensional regularized phase-tracking technique," Appl. Opt. 36, 4540-4548 (1997).
7. J. Villa, I. De la Rosa, G. Miramontes, and J. A. Quiroga, "Phase recovery from a single fringe pattern using an orientational vector-field-regularized estimator," J. Opt. Soc. Am. A 22, 2766-2773 (2005).
8. J. C. Estrada, M. Servin, and J. L. Marroquin, "Local adaptable quadrature filters to demodulate single fringe patterns with closed fringes," Opt. Express 15, 2288-2298 (2007). (Pubitemid 46376891)
9. O. S. Dalmau-Cedeno, M. Rivera, and R. Legarda-Saenz, "Fast phase recovery from a single closed-fringe pattern," J. Opt. Soc. Am. A 25, 1361-1370 (2008).
10. H. Wang and Q. Kemao, "Frequency guided methods for demodulation of a single fringe pattern," Opt. Express 17, 15118-15127 (2009).
11. Q. Kemao, L. T. H. Nam, L. Feng, and S. H. Soon, "Comparative analysis on some filters for wrapped phase maps," Appl. Opt. 46, 7412-7418 (2007).
12. H. Y. Yun, C. K. Hong, and S. W. Chang, "Least-squares phase estimation with multiple parameters in phase-shifting electronic speckle pattern interferometry," J. Opt. Soc. Am. A 20, 240-247 (2003).
13. E. Robin, V. Valle, and F. Bremand, "Phase demodulation method from a single fringe pattern based on correlation with a polynomial form," Appl. Opt. 44, 7261-7269 (2005).
14. M. Rivera, "Robust phase demodulation of interferograms with open or closed fringes," J. Opt. Soc. Am. A 22, 1170-1175 (2005). (Pubitemid 40858079)
15. M. Servin, J. L. Marroquin, and F. J. Cuevas, "Fringe-follower regularized phase tracker for demodulation of closed-fringe interferograms, " J. Opt. Soc. Am. A 18, 689-695 (2001).
16. J. A. Quiroga, J. A. Gomez-Pedrero, and A. Garcia-Botella, "Algorithm for fringe pattern normalization," Opt. Commun. 197, 43-51 (2001).
17. J. Antonio Quiroga and M. Servin, "Isotropic n-dimensional fringe pattern normalization," Opt. Commun. 224, 221-227 (2003).
18. M. Servin, F. J. Cuevas, D. Malacara, and J. L. Marroquin, "Direct ray aberration estimation in Hartmanngrams by use of a regularized phase-tracking system," Appl. Opt. 38, 2862-2869 (1999).
19. J. A. Quiroga and A. Gonzalez-Cano, "Separation of isoclinics and isochromatics from photoelastic data with a regularized phase-tracking technique," Appl. Opt. 39, 2931-2940 (2000).
20. J. Villa, J. A. Quiroga, and M. Servin, "Improved regularized phase-tracking technique for the processing of squaredgrating deflectograms," Appl. Opt. 39, 502-508 (2000).
21. J. C. Estrada, M. Servin, J. A. Quiroga, and J. L. Marroquin, "Path independent demodulation method for single image interferograms with closed fringes within the function space C2," Opt. Express 14, 9687-9698 (2006).